Вычислите: (1 11/24+13/36)*1,44-8/15*0,5625.

Ответ:

\[\left( 1\frac{11}{24} + \frac{13}{36} \right) \cdot 1,44 - \frac{8}{15} \cdot 0,5625 =\]

\[= \left( \frac{35^{\backslash 3}}{24} + \frac{13^{\backslash 2}}{36} \right) \cdot \frac{144}{100} - \frac{8}{15} \cdot \frac{5625}{10000} =\]

\[= \left( \frac{105}{72} + \frac{26}{72} \right) \cdot \frac{36}{25} - \frac{8 \cdot 9}{15 \cdot 16} =\]

\[= \frac{131 \cdot 36}{72 \cdot 25} - \frac{3}{10} = \frac{131}{50} - \frac{3^{\backslash 5}}{10} =\]

\[= \frac{131}{50} - \frac{15}{50} = \frac{116}{50} = \frac{232}{100} = 2,32\]